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Finding the Fourth Proportional to 1,404.92, 1,937.66 and 962.12

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Solution

The fourth proportional to 1,404.92, 1,937.66 and 962.12 is: 1,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.92 : 1,937.66 = 962.12 : x
  2. Step 2: Convert to fraction form
    1,404.92/1,937.66 = 962.12/x
  3. Step 3: Cross multiply
    1,404.92x = 1,937.66 × 962.12
  4. Step 4: Simplify right side
    1,404.92x = 1,864,261.44
  5. Step 5: Solve for x
    x = 1,864,261.44/1,404.92
  6. Step 6: Final answer
    x = 1,326.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.